(1 point) Suppose you want to test the claim the the paired sample data given below come from a population for which the mean difference is µa = 0. 86 57 59 62 88 86 90 y 84 81 63 60 94 62 74 Use a 0.05 significance level to find the following: (a) The mean value of the differnces d for the paired sample data d = (b) The standard deviation of the differences d for the paired sample data SA = (c) The t test statistic t = (d) The positive critical value t = (e) The negative critical value t =
(1 point) Suppose you want to test the claim the the paired sample data given below come from a population for which the mean difference is µa = 0. 86 57 59 62 88 86 90 y 84 81 63 60 94 62 74 Use a 0.05 significance level to find the following: (a) The mean value of the differnces d for the paired sample data d = (b) The standard deviation of the differences d for the paired sample data SA = (c) The t test statistic t = (d) The positive critical value t = (e) The negative critical value t =
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![**Problem Description:**
Suppose you want to test the claim that the paired sample data given below come from a population for which the mean difference is \( \mu_d = 0 \).
| | x | y |
|--------|----|----|
| Data | 86 | 84 |
| | 57 | 81 |
| | 59 | 63 |
| | 62 | 60 |
| | 88 | 94 |
| | 86 | 62 |
| | 90 | 74 |
**Instructions:**
Use a 0.05 significance level to find the following:
(a) The mean value of the differences \( \bar{d} \) for the paired sample data.
\[ \bar{d} = \text{[Input Answer]} \]
(b) The standard deviation of the differences \( s_d \) for the paired sample data.
\[ s_d = \text{[Input Answer]} \]
(c) The t test statistic.
\[ t = \text{[Input Answer]} \]
(d) The positive critical value.
\[ t = \text{[Input Answer]} \]
(e) The negative critical value.
\[ t = \text{[Input Answer]} \]
(f) Does the test statistic fall in the critical region?
- A. Yes
- B. No
(g) Construct a 95% confidence interval for the population mean of all differences \( x - y \).
\[ \text{Lower Limit} < \mu_d < \text{Upper Limit} \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F04c10408-5cfd-4d68-aa09-84e3c4534233%2F45486862-f942-4702-aaa0-93b32eb20bc7%2Fvq12joe_processed.png&w=3840&q=75)
Transcribed Image Text:**Problem Description:**
Suppose you want to test the claim that the paired sample data given below come from a population for which the mean difference is \( \mu_d = 0 \).
| | x | y |
|--------|----|----|
| Data | 86 | 84 |
| | 57 | 81 |
| | 59 | 63 |
| | 62 | 60 |
| | 88 | 94 |
| | 86 | 62 |
| | 90 | 74 |
**Instructions:**
Use a 0.05 significance level to find the following:
(a) The mean value of the differences \( \bar{d} \) for the paired sample data.
\[ \bar{d} = \text{[Input Answer]} \]
(b) The standard deviation of the differences \( s_d \) for the paired sample data.
\[ s_d = \text{[Input Answer]} \]
(c) The t test statistic.
\[ t = \text{[Input Answer]} \]
(d) The positive critical value.
\[ t = \text{[Input Answer]} \]
(e) The negative critical value.
\[ t = \text{[Input Answer]} \]
(f) Does the test statistic fall in the critical region?
- A. Yes
- B. No
(g) Construct a 95% confidence interval for the population mean of all differences \( x - y \).
\[ \text{Lower Limit} < \mu_d < \text{Upper Limit} \]
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